The value of Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as Avogadro's number.
What is one mole?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.
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I just need help with number 9 in this picture if anyone could pls help!
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to
The volume of Pill Bluetooth Speaker is 39.78 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.
The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.
Radius =2/2 1 inch
We know that, the volume of semi sphere is 2/3 πr³
= 2/3 ×3.14×1³
= 2.1 cubic inches
We know that, 1 foot =12 inches
The volume of cylinder is πr²h
= 3.14×1²×12
= 37.68 cubic inches
Total volume =37.68+2.1
= 39.78 cubic inches
Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.
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"Your question is incomplete, probably the complete question/missing part is:"
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.
a) Volume of the Bluetooth Speaker ______
Find the area of a table top that is 3 1/3 feet by 2 feet
6.666666666666666 (6.6 repeating, I just don’t know how to use the sign online)
I multiplied 3 1/3 by 2
Is polynomial Y^4+4Y^2+5 have zeroes or not?
Yes, polynomial Y^4+4Y^2+5 has zeroes. Its zeroes can be found by factoring or using the quadratic formula: Y = -2 +/- sqrt(4-5) / 2 = -1 +/- sqrt(-1) / 2 = -1 +/- i/2.
[tex]Y^4+4Y^2+5[/tex]
=[tex](Y^2+1)²-3[/tex]
=([tex]\sqrt{Y^2+1-sqrt3}[/tex])([tex]\sqrt{Y^2+1+sqrt3}[/tex])
=(Y+ sqrt3)(Y-sqrt3)(Y+1)(Y-1)
=(Y+ sqrt3)(Y-sqrt3)(Y²-1)
=(Y+ sqrt3)(Y-sqrt3)(Y-1)(Y+1)
=0
Therefore the zeroes are Y=-√3, Y=1, Y=√3, Y=-1
Polynomial Y^4+4Y^2+5 is a fourth degree polynomial equation and can be solved by factoring or using the quadratic formula. To solve this equation by factoring, we need to use the difference of squares method. First, we rewrite the equation as (Y^2+1)²-3. Then we factor out the square of the binomial (Y^2+1): (Y^2+1-sqrt3)(Y^2+1+sqrt3). Next, we expand the first binomial to get (Y+ sqrt3)(Y-sqrt3)(Y+1)(Y-1). Then, we factor out the second binomial from the first two terms to get (Y+ sqrt3)(Y-sqrt3)(Y²-1). Finally, we expand the last binomial to get (Y+ sqrt3)(Y-sqrt3)(Y-1)(Y+1). This results in a product of zero, which means the equation has zeroes. The zeroes are Y=-√3, Y=1, Y=√3, and Y=-1.
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True or false:
If f(x) is a cubic function
and f(1) = 0, f(3) = 0 and
ƒ(4) = 0,
then f(5)=8
Answer:
FALSE
Step-by-step explanation:
It is not necessarily true that ƒ(5)=8 just because ƒ(1)=0, ƒ(3)=0, and ƒ(4)=0. In fact, it is possible for ƒ(x) to be a cubic function and for ƒ(5) to equal any number, depending on the specific form of the function and the values of its coefficients.
I NEED HELPPPPPPPPPPPPP
Answer:
y= 12
Step-by-step explanation:
3(-12)-24
-36-24
-12
Write −0.39¯¯¯¯¯ as a fraction in simplest form.
Answer:
-0.3999... = -⅖
-0.393939... = -13/33
Step-by-step explanation:
Only ones I could think of.
Answer:
-39/100
Step-by-step explanation:
What are 2 examples of composite number?
Composite numbers are whole numbers that contain more than two elements.. Examples of composite numbers include 36 and 42. These numbers are divisible by more than just 1 and themselves. 36 is divisible by 1, 2, 3, 4, 6, 9, 12, and 18. 42 is divisible by 1, 2, 3, 6, 7, 14, and 21.
Example 1: To find the factors of 36
Step 1: Start by dividing 36 by 2, which gives us 18.
Step 2: Divide 18 by 2, which gives us 9.
Step 3: Divide 9 by 3, which gives us 3.
Step 4: Divide 3 by 3 which gives us 1.
Step 5: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.
Example 2: To find the factors of 42
Step 1: Start by dividing 42 by 2, which gives us 21.
Step 2: Divide 21 by 3, which gives us 7.
Step 3: Divide 7 by 7 which gives us 1.
Step 4: The factors of 42 are 1, 2, 3, 6, 7, 14, and 21.
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solve for x. each figure is a parallelogram
9) x = 6
10) x = 1
11) x = 0
12) x = 6
This can be solved from the property of parallelogram.
What is parallelogram?A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Parallelograms come in 4 different varieties, including 3 unique varieties. The four varieties are rhombuses, parallelograms, squares, and rectangles.
Properties are:
The opposing sides are equally spaced and parallel.Angles on either side are equal.The angles that are consecutive or contiguous are supplementary.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.9) As we know, from the property of parallelogram,
SR = TQ and ST = RQ
Now, 4 + 2x = 3x - 2
or, x = 6
10) As we know, from the property of parallelogram,
EF = DC and ED = FC
17x + 1 = 18x
or, x = 1
11) As we know, from the property of parallelogram,
YZ = XW and YX = ZW
2x + 9 = 9
2x = 0
x = 0
12) As we know, from the property of parallelogram,
TU = SV and TS = UV
6 + 2x = 4x - 6
or, 2x = 12
or, x = 6
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3 A sphere is increasing in volume at the rate of 20 in3/s. At what rate is the radius of the sphere increasing when the radius is 4 in.? A.0.982 inls B.0.424 inls C.0.995 inls D.0.025 inls
The rate of increase of the radius is 0.025 in/sec.
What is a sphere?A three-dimensional object with a sphere-like shape. A sphere has no vertices or edges, unlike other three-dimensional shapes. The distances between each point on its surface and its center are equal.
In other words, the distance between any two points on the surface and the sphere's center is equal. The formula for the Volume of the sphere is given by
Volume of sphere = (4/3)πr³
Where, r = radius of the sphere
Here we have
A sphere is increasing in volume at the rate of 20 in³/s.
Here we need to find at what rate the radius of the sphere increases when the radius is 4 in.
Let v = Volume of the sphere at time t
=> Change in Volume = dv/dt = 20
r = Radius of the sphere at time t
As we know, the Volume of the sphere, v = (4/3)πr³
Differentiate the Volume of the sphere with respect to t
=> dv/dt = (4/3)3πr³⁻¹)(dr/dt)
=> dv/dt = 4πr² (dr/dt)
=> 20 = 4πr² (dr/dt)
=> 5 = πr² (dr/dt)
Given that radius, r = 4
=> 5 = π4² (dr/dt)
=> 5 = (22/7) 64 (dr/dt)
=> 5 = 3.14(64) (dr/dt)
=> dr/dt = (5/3.14 × 64)
=> dr/dt = 0.024880573
=> dr/dt = 0.025
Therefore,
The rate of increase of the radius is 0.025 in/sec.
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An item costs $430 before tax , and the sales tax is $34. 40. Find the sales tax rate. Write your answer as a percentage
The sales tax rate on the item = 8%
We know that the sales tax is nothing but the purchase price times the percentage of tax.
An item costs $430 before tax.
This means, the purchase price is 430 dollars.
The sales tax is $34. 40
To find: the sales tax rate as a percentage
First we find a ratio of the sales tax to the cost of the items before tax.
Sales tax / Pre-tax value of item = (34.40) / 430
Now we write a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.
i.e., (34.40) / 430 = sales tax percent / 100
So, the sales tax percent = 8%
Therefore, the sales tax is of 8%
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Is 3x3 a polynomial?
The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).
A polynomial is what?A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).
[tex]x - x^3[/tex] has a degree of 3, or 3.
The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.
The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]
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3x+2y=2 in slope intercept form!!!
Answer:
[tex] \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]
Step-by-step explanation:
Slope-intercept is in form of y = mx + b where m is slope and b is y-intercept. We simply solve for y in term of x and then we will obtain the slope-intercept form.
Given the linear equation:
[tex] \displaystyle{3x + 2y = 2}[/tex]
First, subtract both sides by 3x:
[tex] \displaystyle{3x + 2y - 3x= - 3x + 2} \\ \\ \displaystyle{2y = - 3x + 2}[/tex]
Then divide both sides by 2:
[tex] \displaystyle{ \dfrac{2y}{2} = \dfrac{ - 3x + 2}{2}} \\ \\ \displaystyle{ y = \dfrac{ - 3x + 2}{2}}[/tex]
Separate fractions (Simplify):
[tex] \displaystyle{ y= \dfrac{ - 3x}{2} + \dfrac{2}{2}} \\ \\ \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]
And we have finally converted the equation to slope-intercept form.
What is the quotient (3x2 4x − 15) ÷ (x 3)? 3x 5 3x − 5 3x 1 3x − 1, r = 1
By solving the expression (3x2 +4x − 15) ÷ (x +3) the quotient is 3x-5 and r=0
What do you meant by quotient?When solving a division problem, the quotient is obtained by dividing the dividend by the divisor.
Mathematically, we denote the outcome of this division by separating the quotient and remainder with a capital R. (see below). The entire number that results from simplifying a fraction is known as the quotient.
We can do it by long division method the required quotient is 3x-5 and r=0
not 3x-1 , r=1
multiply the divisor with 3x we will get 3x²+9x to cancel out the first term of dividend.
Now after solving we will get -5x -15
Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.
So that the quotient is 3x-5 and r=0
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What is the value calculator?
A value calculator is a tool used to help assess the worth of an asset or investment.
The value calculator is designed to help individuals and businesses determine whether an asset or investment is a good value. The calculator takes into account various types of data, such as the current market value, expected future value, and any associated risk factors.
This data is then used to calculate the present value, which is the amount of money an asset or investment is worth today. The calculator also takes into account inflation and other factors that could affect the current value of the asset or investment.
The value calculator can be used to help individuals and businesses make informed decisions about their financial investments.
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what is the value of x?
Answer:119
Step-by-step explanation:
because it's on oppisite sides on the outside
Answer:
C) 119°------------------------------
The two given two angles are alternate exterior angles and therefore congruent according to alternate exterior angles theorem:
x = 119°Definition:
Alternate exterior angles are the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. What is the approximate area of the heptagon rounded to the nearest whole number
Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.
A heptagon is a seven-sided polygon. To find the area of a regular heptagon, we can use the formula:
Area = (7/4) * (perimeter) * (apothem)
where "perimeter" is the length of the heptagon's circumference and "apothem" is the distance from the centre to the midpoint of one of its sides. The radius of the heptagon is the apothem, which is 27.87 cm.
The perimeter of the heptagon can be calculated by multiplying the length of one side by the number of sides:
Perimeter = 24.18 cm * 7 = 168.26 cm
Now we can substitute these values into the area formula:
Area = (7/4) * 168.26 * 27.87
Area = approximately 554.55 sq cm.
Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.
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The price of an article is fixed at a certain percent above the cp and sold it at 5% discount . If the cp is rs16000 and sp is rs20900 with 10% vat ,how much percentage is mp more then cp ?
Markup price is 30% more then Cost price.
What is VAT?The selling price includes a VAT (which is a form of tax) and a discount.
A Vat is a form of tax which increases the price of a good and a discount reduces the price.
The marked price is mp = cp(1 + 5%) = 1.50cp
The selling price is sp = mp(1 -10%) = 0.90mp
The gain is profit =sp -cp
= (0.90(1.50cp)) -cp
= cp(0.90·1.50 -1)
= 0.04cp
Mark up = (selling price - cost price) / cost price
(20900 - 16,000) / 16,000 = 0.306 = 30.6 %
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Hannah either walks or cycles to school. The probability that she walks to school is 0.75 If she walks, the probability that she is late is 0.6 If she cycles, the probability that she is late is 0.2 Work out the probability that on any one day Hannah will not be late for school.
If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.
If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.
0.48 + 0.3 = 0.78.
In other words, there is a 78% probability of her not being late.
From the top of a lighthouse, the angles of depression to the top and bottom of a flagpole are 23° and 42°, respectively. If the flagpole is 75 feet from the lighthouse, how tall is the pole? [Round your answer to the nearest tenth of a foot. Type in the number only.]
Back with the braids.
−321⋅35⋅7⋅15 what is this properties
The dots in the expression - 321⋅35⋅7⋅15 represents multiplication.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
From higher classes, we write a dot sign in between two terms to represent that the terms are being multiplied.
Given, - 321⋅35⋅7⋅15 this represents multiplication between the numbers
- 321, 35, 7, and 15.
The result of this product is,
- 321×35×7×15
= - 1,179,675.
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Find the total surface area of a cone of base diameter 7cm and height 8cm
The total surface area of a cone which has a base diameter of 7 cm and height of 8 cm is 126.5 cm ²
How to find the total surface area of a cone ?The total surface area of a cone can be found by the formula :
= (π x radius ²) + (π x radius x height )
Radius is half of diameter so :
= 7 / 2
= 3. 5 cm
The total surface area of the cone is;
= ( π x 3. 5 ²) + ( π x 3. 5 x 8)
= 38 . 5 + 88
= 126.5 cm ²
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Marissa is skateboarding on a straight stretch of sidewalk. In 3.0 minutes, she travels 486 meters. What is the magnitude of her velocity during this stretch?
Marissa velocity while skateboarding is 162 meters per minute
What is an equation?An equation is used to show the relationship between numbers and variables.
Velocity is the ratio of displacement to time taken. It is a vector quantity (has magnitude and direction) and it is given by:
Velocity = displacement / time
Marissa travels 486 meters in 3 minutes, hence:
Velocity = displacement / time
Velocity = 486 m / 3 min = 162 meters per minute
The velocity is 162 meters per minute
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Answer: The correct answer is 2.7m/s
Step-by-step explanation:
I took the test
Can u please help? .
Answer:
x= 43
Step-by-step explanation:
The angles are corresponding angles which mean that they are equal to each other.
3x + 5 = 134 Subtract 5 from both sides
3x + 5 - 5 = 134 - 5
3x = 129 Divide both sides by 3
[tex]\frac{3x}{3}[/tex] = [tex]\frac{129}{3}[/tex]
x = 43
Sasha is a journalist for an online school magazine. She wants to know what topic readers are not interested in for the next publication
Sasha puts a survey on the magazine's website and considers the first 25 responses. Are conclusions drawn from this sample likey to be true for all readers of the magazine?
Answer:
Step-by-step explanation:
No, some people don't like certain things. It like saying that you pick five random people who are at a science fair and ask them if they like science, the answer would be yes, but if you went to Walmart and asked five random people if they liked science your answers would most likely end up being no. It's the same way looking at the magazines.
Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1
c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15
Answer:
the value is 4
Step-by-step explanation:
a man left 1/2 of his money to his first son 3/8 to his second son, the rest 80,000 to his third son.how much did he he leave to his second son
As per the given conditions in the question, the amount of money that the second son was left with by the man is 2,40,000.
How do you add two fractions with different denominators?To add two fractions with different denominators, you must first find a common denominator. A common denominator is a number that is divisible by both denominators of the fractions. Once you have a common denominator, you can add the numerators of the fractions together and place the sum over the common denominator. Then simplify the fraction if possible.
What is the reciprocal of a fraction?The reciprocal of a fraction is another fraction whose numerator and denominator are flipped. For example, the reciprocal of the fraction 2/3 is 3/2. The product of a fraction and its reciprocal is always equal to 1. To find the reciprocal of a fraction, simply swap the numerator and denominator.
Considering the conditions given in the question,let us suppose that the third son was left with x part of the money,
so we can use the equation,
part of money left for fist son + part of money left for second son + part of money left for third son = total part of money
or, 1/2 + 3/8 + x = 1
therefore, x = 1/8
Also we know that the third son was left 80,000 ,
so 1/8 of total money = 80,000
therefore, total money = 80000 * 8 =6,40,000
Now the amount left for the second son is , 3/8 of total money
which is equal to , 3/8 of 6,40,000 = 2,40,000
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An approximate solution to an equation is found using this iterative process.
(x, Jº-1
X,+1
and x, = -1
4
The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.
What is iteration ?
iteration can be defined as the repeating itself to perform a particular task.
Given
X2 is when n=1
X2 = X1+1 = X1 ^ 3 - 5/10
because X1 = -1
so X2 = -1-5/10 = -6/10 = -0.6
X3 is when n=2
X3 = X2+1
= X2 ^ 3 -5/10
because X2 = -3/5
so X3 could be
X3 = (-0.6*-0.6*-0.6) - 5 / 10
X3 = -0.041600
Hence, The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.
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Work out the area of this shape. Give your answer
in cm².
4 cm
4 cm
10 cm
Answer:
48cm^2
Step-by-step explanation:
Rectangle=LxW
Triangle=bh/2
Rectangle: 10x4=40cm^2
Triangle: 4x4=16/2=8cm^2
40+8=48cm^2
Hope this helps :)
A cup of tea costs $3.25 at a local cafe. Alan and his wife, Patty, have a coupon for $1 off their order. Alan says the expression 3.25t - 1 represents the cost for t cups of tea. Patty says the expression 3t + (-1) represents the cost. Are their expressions equivalent? Explain.
Answer:
Step-by-step explanation:
The expressions are not equivalent. A cup of tea costs $3.25. $3.25t reprensents the total cost for the number of cups of tea (t) in one order. Subtracting the $1 coupon or adding the coupon as a negative results in the same discount. But Patty is using the wrong cost for a cup of tea, $3 instead of $3.25. Resulting in expressions that are NOT equivalent.